April 30, 2011
18.702 Problem Set 9
due wednesday, May 11, the last day of class.
These problems are not especially difficult. I recommend working on them in order to prepare
for the quiz on Friday, May 6.
1. Chapter 16, Problem 2.5 (discriminant of a quartic)
2. Chapter 16, Problem 7.10 (stabilizers of elements)
3. Chapter 16, Problem 7.11 (a square root and a cube root)
4. Chapter 16, Problem 9.3 (a nested square root)
5. Chapter 16, Problem 9.12a,c,d (some quartic equations)
6. Chapter 16, Problem 10.4 (degrees of sums of roots of unity)
7. Chapter 16, Problem 11.1 (roots of a cubic)
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18.702 Algebra II
Spring 2011
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